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472745875585566 = 2311171933340365357
BaseRepresentation
bin110101101111101011011100…
…1111110111011101000011110
32021222212001201220020100022010
41223133112321332323220132
5443430432023122214231
64353240242421532050
7201401522333651022
oct15337267176735036
92258761656210263
10472745875585566
111276a4444343680
1245031399274026
13173a298b392a4b
1484a50458d6382
15399c312400546
hex1adf5b9fbba1e

472745875585566 has 128 divisors (see below), whose sum is σ = 1097827122663936. Its totient is φ = 134124817121280.

The previous prime is 472745875585559. The next prime is 472745875585573. The reversal of 472745875585566 is 665585578547274.

It is an interprime number because it is at equal distance from previous prime (472745875585559) and next prime (472745875585573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7233253360 + ... + 7233318716.

It is an arithmetic number, because the mean of its divisors is an integer number (8576774395812).

Almost surely, 2472745875585566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472745875585566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548913561331968).

472745875585566 is an abundant number, since it is smaller than the sum of its proper divisors (625081247078370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472745875585566 is a wasteful number, since it uses less digits than its factorization.

472745875585566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98986.

The product of its digits is 79027200000, while the sum is 84.

The spelling of 472745875585566 in words is "four hundred seventy-two trillion, seven hundred forty-five billion, eight hundred seventy-five million, five hundred eighty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 193 374 386 561 579 1122 1158 2123 3281 4246 6369 6562 9843 12738 19686 33403 36091 65357 66806 72182 100209 108273 130714 196071 200418 216546 367433 392142 567851 718927 734866 1102299 1111069 1135702 1437854 1703553 2156781 2204598 2222138 3333207 3407106 4313562 6246361 6446779 6666414 12221759 12492722 12613901 12893558 18739083 19340337 24443518 25227802 36665277 37478166 37841703 38680674 70914569 73330554 75683406 109595243 138752911 141829138 212743707 214436317 219190486 277505822 328785729 416258733 425487414 428872634 643308951 657571458 832517466 1205547673 1286617902 2183119871 2358799487 2411095346 3616643019 4366239742 4717598974 6549359613 7076398461 7233286038 13098719226 14152796922 24014318581 37113037807 48028637162 72042955743 74226075614 111339113421 144085911486 222678226842 408243415877 421342135103 816486831754 842684270206 1224730247631 1264026405309 2449460495262 2528052810618 4634763486133 7162816296751 9269526972266 13904290458399 14325632593502 21488448890253 27808580916798 42976897780506 78790979264261 157581958528522 236372937792783 472745875585566